A:
Positive:
1 x 309106497 x 441580711 x 281005977 x 401437229 x 1349811603 x 192831753 x 176332519 x 12271
Negative:
-1 x -30910649-7 x -4415807-11 x -2810059-77 x -401437-229 x -134981-1603 x -19283-1753 x -17633-2519 x -12271
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 30,910,649, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 30,910,649 | |
| -1 | -30,910,649 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,910,649.
Example:
1 x 30,910,649 = 30,910,649
and
-1 x -30,910,649 = 30,910,649
Notice both answers equal 30,910,649
With that explanation out of the way, let's continue. Next, we take the number 30,910,649 and divide it by 2:
30,910,649 ÷ 2 = 15,455,324.5
If the quotient is a whole number, then 2 and 15,455,324.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 30,910,649 | |
| -1 | -30,910,649 |
Now, we try dividing 30,910,649 by 3:
30,910,649 ÷ 3 = 10,303,549.6667
If the quotient is a whole number, then 3 and 10,303,549.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 30,910,649 | |
| -1 | -30,910,649 |
Let's try dividing by 4:
30,910,649 ÷ 4 = 7,727,662.25
If the quotient is a whole number, then 4 and 7,727,662.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 30,910,649 | |
| -1 | 30,910,649 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 229 | 1,603 | 1,753 | 2,519 | 12,271 | 17,633 | 19,283 | 134,981 | 401,437 | 2,810,059 | 4,415,807 | 30,910,649 |
| -1 | -7 | -11 | -77 | -229 | -1,603 | -1,753 | -2,519 | -12,271 | -17,633 | -19,283 | -134,981 | -401,437 | -2,810,059 | -4,415,807 | -30,910,649 |
Here are some more numbers to try:
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